The torsion of a submanifold of a Riemannian manifold
β Scribed by A. A. Dudkin
- Publisher
- Springer US
- Year
- 1994
- Tongue
- English
- Weight
- 208 KB
- Volume
- 69
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The notion of being totally umbilic is considered for non-degenerate and degenerate submanifolds of semi-Riemannian manifolds. After some remarks on the general case, timelike and lightlike totally umbilic submanifolds of Lorentzian manifolds are discussed, along with their physical interpretation i
It is well-known that the geodesics of a linearly connected manifold ilrJ are obtained by projection of the integral curvea of the standard horizontal vector fields onto 144. We study special distributions on the bundle of linear frames of V when the linear connection has no torsion. The projections
The generalized equation and the intrinsic generalized equation are considered. The solutions of the first one are shown to correspond to Riemannian submanifolds Mn(K) of constant sectional curvature of pseudo-Riemannian manifolds Mn (K) of index s, with K K, flat normal bundle and such that the nor